OUTLINE: This is a phase I, dose-escalation study of genetically engineered lymphocyte therapy followed by a phase II study. Patients receive standard salvage chemotherapy per standard practice and undergo standard mobilization for stem cell collection with filgrastim and/or plerixafor. Some patients may also receive rituximab intravenously (IV) within 4 weeks of transplant. Patients receive standard myeloablative conditioning followed by autologous PBSCT. Patients then undergo infusion of ex vivo expanded autologous TCM-enriched CD8+ T cells expressing CD19-specific CAR on day 2 or 3 after transplant.